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Anomalous Dimension in the Solution of the Barenblatt's Equation

Cheng Chen·G. Cheng
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Abstract

A new method is presented to obtain the anomalous dimension in the solution of the Barenblatt's equation. The result is the same as that in the renormalization group (RG) approach. It gives us insight on the perturbative solution of the Barenblatt's equation in the RG approach. Based on this discussion, an improvement is made to take into account, in more complete way, the nonlinear effect, which is included in the Heaviside function in higher orders. This improved result is better than that in RG approach.

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Cheng Chen, G. Cheng. 2001-02-28. Anomalous Dimension in the Solution of the Barenblatt's Equation. https://doi.org/10.1063/1.532399

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